In this paper, we obtain some results of a more rigorous mathematical structure that can guarantee the orthogonality of an orthogonal set even when results and formula on abstract Wiener integrals or ...

A new approach is developed to the theory of quadrature methods applied to linear integral equations in which the objective is to determine the solution to any desired accuracy with the use of an ...

Vector spaces, linear transformation, matrix representation, inner product spaces, isometries, least squares, generalised inverse, eigen theory, quadratic forms, norms, numerical methods. The fourth ...

Transforming light: illustration of how an arbitrary linear transform can be achieved in an all-optical system using diffractive surfaces (Courtesy: Ozcan Lab/UCLA) Researchers in the US have shown ...